Crossed squares and 2-crossed modules of commutative algebras

Zekeriya Arvasi

In this paper, we construct a neat description of the passage from crossed
squares of commutative algebras to 2-crossed modules analogous to that given
by Conduche in the group case. We also give an analogue, for commutative
algebra, of T. Porter's simplicial groups to n-cubes of groups
which implies an inverse functor to Conduche's one.